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Twelve cells, each having an e.m.f of \( \mathrm{E} \) volt are connected in series and are kept in a closed box. Some of these cells are wrongly connected with positive and negative terminals reversed. This 12 cell battery is connected in series with an ammeter, an external resistance \( \mathrm{R} \) ohms and a two-cell battery (two cells of the same type used earlier, connected perfectly in series). The current in the circuit when the 12 -cell battery and 2 cell battery aid each other is \( 3 A \) and is 2A when they oppose each other. Then the number of cells in 12-cells battery that are connected wrongly is: A . 14 B. 3 \( c \cdot 2 \) D.
3
Physics
Bones become fragile due to A. Arthritis B. osteoporosis \( c . \) Gout D. None of the above
0
Biology
One megawatt is equivalent to A \( \cdot 10^{2} W \) B . \( 10^{6} W \) \( \mathbf{c} \cdot 10^{4} W \) D. \( 10^{8} W \)
3
Physics
Let \( \bar{a}, \bar{b}, \bar{c} \) be vectors of length 3,4,5 respectively. Let \( \bar{a} \) be perpendicular to \( \bar{b}+\bar{c}, \bar{b} \) is perpendicular to \( \bar{c}+\bar{a} \& \bar{c} \) is perpendicular to \( \bar{a}+\bar{b} \). Then \( |\bar{a}+\bar{b}+\bar{c}| \) is: A \( .2 \sqrt{5} \) B. \( 2 \sqrt{2} \) c. \( 10 \sqrt{5} \) D. \( 5 \sqrt{2} \)
2
Maths
If \( f(2)=4 \) and \( f^{\prime}(2)=1, \) then \( \lim _{x \rightarrow 2} \frac{x f(2)-2 f(x)}{x-2} \) equal to A .2 B. -2 \( c \cdot 1 \) D. 3
2
Maths
From a uniform disc of radius \( R, \) a circular disc of radius \( \boldsymbol{R} / 2 \) is cut out. The centre of the hole is at \( R / 2 \) from the centre of the original disc. Locate the centre of gravity of the resultant flat body. A \( \cdot \frac{R}{6} \) from the centre в. \( \frac{R}{15} \) from the centre c. \( -\frac{R}{5} \) from the centre D. \( \frac{R}{20} \) from the centre
3
Physics
If \( a, b, c \) are in A.P. then \( \frac{a-b}{b-c} \) is equal to A \( \cdot \frac{a}{b} \) B. \( \frac{b}{c} \) \( c \cdot \frac{a}{c} \) D.
2
Maths
In the circuit shown in figure, ammeter and voltmeter are ideal. If \( \boldsymbol{E}=\mathbf{4} \boldsymbol{V}, \boldsymbol{R}= \) \( 9 \Omega \) and \( r=1 \Omega, \) then readings of ammeter and voltmeter are This question has multiple correct options A \( \cdot A_{m}=1 A \) B . \( A_{m}=2 A \) c. \( V_{m}=3 V \) D. \( V_{m}=4 V \)
3
Physics
For the function \( f(x)=x \cos \frac{1}{x}, x \geq 1 \) which of the following is/are true?? This question has multiple correct options A. There is at least one \( x \) in the interval \( [1, \infty) \) for which \( f(x+2)-f(x)<2 \) \( \mathbf{B} \cdot \lim _{x \rightarrow \infty} f^{\prime}(x)=1 \) C \( . f(x+2)-f(x)>2 \) for all \( x \) in the interval \( [1, \infty) \) D. \( f^{\prime}(x) \) is strictly decreasing in the interval \( [1, \infty) \)
2
Maths
Which one of the following elements show different oxidation states? A. Sodium B. Fluorine c. chlorine D. Potassium
1
Chemistry
Trimerous condition of floral whorls is characteristic of
0
Biology
A closed vessel contains some gas at atmospheric pressure and room temperature. It is then given a high speed by placing it in a fast moving train. The temperature of the gas A. will increase B. will decrease c. will remain uncharged D. increase or decrease depending on the chemical composition of gas
3
Physics
The rate of reaction is uniform throughout the reaction. A. True B. False
1
Chemistry
The process of taking in \( C O_{2} \) by plants and releasing \( O_{2} \) is component of A. Transpiration B. Respiration c. Endosmosis D. Photosynthesis
0
Biology
toppr 5 Q Type your question \( A \) \( B \) \( c \) \( D \)
1
Chemistry
If the median of the data \( 6,7, x- \) \( 2, x, 18,21 \) written in ascending order is 16, then the variance of that data is A \( \cdot 30 \frac{1}{5} \) в. \( 31 \frac{1}{3} \) c. \( _{32} \frac{1}{2} \) D. \( 33 \frac{1}{3} \)
2
Maths
Net energy gain from malic acid and succinic acid are Malic acid: 3 Succinic acid: 5 Justify the mentioned values.
0
Biology
Find the principle value of \( \tan ^{-1}(-\sqrt{3}) \) \( \mathbf{A} \cdot \pi / 3 \) в. \( -\pi / 3 \) c. \( \pi / 6 \) D. \( -\pi / 6 \)
2
Maths
\( A \) follows the first-order reaction. \( (A) \longrightarrow \) product. The concentration of \( A \) changes from \( 0 . \) M to \( 0.025 \mathrm{M} \) in 40 minutes. Find the rate of reaction of \( A \) when concentration of \( A \) is \( 0.01 \mathrm{M} ? \) A \( \cdot 3.47 \times 10^{-4} \mathrm{M} \min ^{-1} \) В. \( 3.47 \times 10^{-5} \mathrm{M} \min ^{-1} \) c. \( 1.73 \times 10^{-4} \mathrm{M} \min ^{-1} \) D. \( 1.73 \times 10^{-3} \mathrm{M} \min ^{-1} \)
1
Chemistry
Which of the following is free of salts? A. Distilled water B. Sea water c. tap water D. All of the above
1
Chemistry
For a first order reaction, to obtain a positive slope, we need to plot: \( \{[A] \text { is the concentration of reactant } A\} \) \( \mathbf{A} \cdot \log _{10}[A] \) vs \( t \) B. \( -\log _{e}[A] \) vs t \( \mathbf{C} \cdot \log _{10}[A] \) vs \( \log t \) D. \( [A] \) vs t
1
Chemistry
Effect of the day length duration on plant development and flowering is A. Chemtropism B. Phototropism c. Photoperiodism D. Photonasty
0
Biology
The percentage of sunlight utilized for photosynthesis by higher plants is A . \( 100 \% \) B. \( 110 \% \) c. \( 50 \% \) D. 1 - 2 \%
0
Biology
Higher order \( (>3) \) reactions are rare due to: A. low probability of simultaneous collision of all the reacting species B. increase in entropy and activation energy as more molecules are involved C. shifting of equilibrium towards reactants due to elastic collisions D. loss of active species on collision
1
Chemistry
The set of all points where \( \boldsymbol{f}(\boldsymbol{x})= \) \( \sqrt[3]{x^{2}|x|}-|x|-1 \) is not differentiable is \( A \cdot\{0\} \) B \( \cdot\{-1,0,1\} \) \( \mathbf{c} \cdot\{0,1\} \) D. None of these
2
Maths
The value of \( x \) satisfying the equation \( \tan ^{-1} x+\tan ^{-1}\left(\frac{2}{3}\right)=\tan ^{-1}\left(\frac{7}{4}\right) \) equal to \( A \cdot \frac{1}{2} \) в. \( -\frac{1}{2} \) \( c \cdot \frac{3}{2} \) D. \( -\frac{1}{3} \) E
2
Maths
A solution is obtained by mixing \( 200 g \) of \( 30 \% \) and \( 300 g \) of \( 20 \% \) solution by weight What is the percentage of solute in the final solution? A . \( 50 \% \) B . 28\% c. \( 64 \% \) D. 24\%
1
Chemistry
\( \operatorname{Let}\left(\frac{2 x^{2}+x+2}{x}\right)^{n}=\sum_{r=m}^{r=t} a_{r} x^{r} \) then answer the following: \( f\left(a_{p}=a_{q} \text { then } p+q=\dots\right. \)
2
Maths
In square PQRS. if \( \mathrm{PQ}=3 x-7 \) and \( Q R=x+3 ; \) find PS \( A \cdot 6 \) B. 7 \( c \cdot 8 \) D. 5
2
Maths
What charge do group IV A atoms have when they become ions? A. Either +4 or - 4 but they don't usually become ions. B. +4 \( c \cdot-4 \) \( D \cdot+3 \) E. - -
1
Chemistry
Electric potential of uniformly charged solid sphere at its surface A. increases with increase in radius B. decreases with increase in radius c. remains constant D. none of the above
3
Physics
7 is a factor of \( 2^{3 n}-1 \) for all natural numbers n. A. True B. False
2
Maths
The number of covalent bonds formed by Be is:
1
Chemistry
If \( \int \frac{\sqrt{4+x^{2}}}{x^{6}} d x= \) \( \frac{\left(a+x^{2}\right)^{3 / 2} \cdot\left(x^{2}-b\right)}{120 x^{5}}+C \) then \( a+b \) equals to
2
Maths
What would be the length of a sec. A pendulum at a planet (where acc, due to gravity is \( g / 4 \) ) if it's length on earth is \( l \) A \( . l / 2 \) в. \( 2 l \) \( c \cdot l / 4 \) D. 4
3
Physics
A biased coin with probability \( \boldsymbol{p}, \boldsymbol{0}< \) \( p<1, \) of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is \( 2 / 5, \) then \( p=\dots \) A. \( 2 / 5 \) B. \( 2 / 3 \) c. \( 1 / 3 \) D. \( 3 / 5 \)
2
Maths
A diatomic molecule has a dipole moment equal to 1.2 D. If the bond length is \( 1 A^{0}, \) what fraction of electronic charge \( ^{\prime} e^{\prime} \) exists on each atom.
1
Chemistry
g of sodium hydroxide is present in 1 litre of \( 1 \mathrm{M} \) solution. A . 20 B. 40 \( c .30 \) D. 10
1
Chemistry
The first use of quantum theory to explain the structure of atom was made by: A. Heisenbergg B. Bohr c. Planck D. Einstein
1
Chemistry
Objects fall towards the earth because the earth pulls those. This pull is called force. A. contact B. muscular c. gravitational D. electrostatic
3
Physics
Define thermoplastics and thermosetting polymers with two examples of each.
1
Chemistry
In the reaction series: \( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{C l} \frac{\boldsymbol{N H}_{\boldsymbol{3}}}{\boldsymbol{C u _ { 2 } \boldsymbol { O } , \mathbf { 2 0 0 } ^ { \boldsymbol { o } } \boldsymbol { C }}} \boldsymbol{X} ; \boldsymbol{X} \frac{\boldsymbol{H} \boldsymbol{N O}_{2}}{\boldsymbol{0}-\boldsymbol{5}^{0} \boldsymbol{C}} \) \( Z ; X+Z \rightarrow A, \) the number of \( \sigma \) and \( \pi \) bonds in \( A \) are: \( \mathbf{A} \cdot 25 \sigma \) and \( 6 \pi \) B . 25 \( \sigma \) and \( 7 \pi \) c. \( 27 \sigma \) and \( 7 \pi \) D. \( 27 \sigma \) and \( 6 \pi \)
1
Chemistry
Calculate the wavelength and energy of radiation emitted for the electronic transition from infinite to stationary state of hydrogen atom. (Given, \( \boldsymbol{R}= \) \( \mathbf{1} . \mathbf{0} \mathbf{9 6 7} \mathbf{8} \times \mathbf{1 0}^{\mathbf{7}} \mathbf{m}^{-\mathbf{1}}, \mathbf{h}=\mathbf{6 . 6 2 5 6} \times \) \( 10^{-34} J-s \) and \( c=2.9979 \times 10^{8} m s^{-1} \) )
1
Chemistry
The age distribution of 400 persons in a colony having median age 32 is given below \[ \begin{array}{llll} \text { Age } \sin & 20- & 25- & 30- \\ \text { Years) } & 25 & 30 & 35 \end{array} \] Frequency 75 Then, \( (x-y) \) is : A .10 в. 20 c. -10 D. - 20
2
Maths
What is the total emf, when three cells of emfs \( 2 V, 2 V, 2 V \) connected in parallel? A . \( 4 v \) B. 1V c. \( 2 v \) D. \( 5 v \)
3
Physics
Analgesics have pain killing effect when consumed, is a classification based on A. the basis of pharmacological effect B. the basis of drug action c. the basis of chemical structure D. the basis of molecular targets
1
Chemistry
Fungi show sexual reproduction by all of the following processes except A. oospores B. Ascospores c. Basidiospores D. Aplanospores
0
Biology
The sides of a triangle are \( 3 x+ \) \( 4 y, 4 x+3 y \) and \( 5 x+5 y \) units, where \( \boldsymbol{x}, \boldsymbol{y}>0 . \) The triangle is A. right angled B. equilateral c. obtuse angled D. none of these
2
Maths
During fractional evaporation of liquid air, nitrogen comes out as a fraction along with: \( \mathbf{A} \cdot \mathrm{Ar}, \mathrm{Kr}, \mathrm{Xe} \) B. Only Ar c. He and Ne D. Kr, Xe
1
Chemistry
which is free to rotate about the smooth vertical hinge passing through the center and perpendicular to the plate, is lying on a smooth horizontal surface. A particle of mass \( m \) moving with speed \( u^{\prime} \) collides with the plate and sticks to it as shown in figure. The angular velocity of the plate after collision will be: \( A \cdot \frac{12}{5} \) B. \( \frac{12}{19} \) c. \( \frac{3}{-} \underline{u} \) \( 2 a \) D. \( \frac{3}{5} \)
3
Physics
Is \( P C l_{3} \) soluble in water? A. Not Soluble B. May be c. Partially soluble D. soluble
1
Chemistry
The displacement of a particle performing linear S.H.M is given by \( \boldsymbol{x}= \) \( 6 \sin (3 \pi t-5 \pi / 6) \) metre. Find the time at which the particle reaches the extreme position towards the left: A. \( 5 / 9 \) secs B . 4/9 secs c. \( 1 / 9 \) secs D. 7/9 secs
3
Physics
Solve the equation for \( x, y, z \) and \( t \) if \( \mathbf{2}\left[\begin{array}{ll}\boldsymbol{x} & \boldsymbol{z} \\ \boldsymbol{y} & \boldsymbol{t}\end{array}\right]+\mathbf{3}\left[\begin{array}{cc}\mathbf{1} & -\mathbf{1} \\ \mathbf{0} & \mathbf{2}\end{array}\right]=\mathbf{3}\left[\begin{array}{ll}\mathbf{3} & \mathbf{5} \\ \mathbf{4} & \mathbf{6}\end{array}\right] \)
2
Maths
Which of the following is not Lewis acid? A. \( B F_{3} \) в. \( A l C l_{3} \) c. \( F e C l_{3} \) D. \( P H_{3} \)
1
Chemistry
Simplify: \( \left(a^{2}-b^{2}\right)^{2} \)
2
Maths
Prove that if chords of congruent circles subtend equal angles at their centre, then the chords are equal.
2
Maths
Ptyalin enzyme is secreted by A. Salivary glands B. Mouth c. oesophagus D. Stomach
0
Biology
A ship is travelling due east according to mariner's compass. If the declination at that place is \( 20^{\circ} \) east, the actual direction of its motion is A \( \cdot 40^{\circ} \) south of east B. \( 20^{\circ} \) south of east C \( \cdot 5^{\circ} \) south of east D. \( 20^{\circ} \) north of east
3
Physics
Calculate the heat energy released by water in the experiment in cooling from \( 70^{\circ} \mathrm{C} \) to \( 45^{\circ} \)
3
Physics
Explain why \( N_{2} \) has greater bond dissociation energy than \( N_{2}^{+} \) whereas \( O_{2} \) has lesser bond dissociation energy \( \operatorname{than} O_{2}^{+} \)
1
Chemistry
is not unisexual flower. A. coconnut в. Papaya a c. Gulmohar D. watermelon
0
Biology
Consider a system of three charges \( \frac{\mathbf{q}}{\mathbf{3}} \) \( \frac{\mathbf{q}}{\mathbf{3}} \) and \( -\frac{\mathbf{2 q}}{\mathbf{3}} \) placed at points \( \mathbf{A}, \mathbf{B} \) and C, respectively, as shown in the figure. Take 0 to be the centre of the circle of radius \( \mathbf{R} \) and angle \( \mathbf{C A B}=\mathbf{6 0}^{\mathbf{0}} \) A \( \cdot \) The electric field at point \( \mathrm{O} \) is \( \frac{\mathrm{q}}{8 \pi \epsilon_{0} \mathrm{R}^{2}} \) directed along the negative x-axis B. The potential energy of the system is zero C. The magnitude of the force between the charges at \( C \) and \( \mathrm{B} \) is \( \frac{\mathrm{q}^{2}}{54 \pi \epsilon_{0} \mathrm{R}^{2}} \) D. The potential at point \( \mathrm{O} \) is \( \frac{\mathrm{q}}{12 \pi \epsilon_{0} \mathrm{R}} \)
3
Physics
A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of the same cylinder about an axis passing through its centre and perpendicular to its length, then A \( . L=R \) B. \( L=\sqrt{3} R \) c. \( L=\frac{R}{\sqrt{3}} \) D. \( L=\sqrt{\frac{3}{2}} R \)
3
Physics
For which of the following events will the resulting products have more mass than the mass of the stuff from which the products came? A. Alpha decay B. Beta decay c. An exothermic nuclear reaction D. An endothermic nuclear reaction E. Nuclear fission of uranium -235
3
Physics
A \( 0.5 g \) sample of \( K H_{2} P O_{4} \) is titrated with \( 0.1 M \) NaOH.The volume of base required to do this is \( 25.0 m l \) The reaction is represented as: \( \boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-}+\boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-}+\boldsymbol{H}_{2} \boldsymbol{O} \) The percentage purity of \( K H_{2} P O_{4} \) is \( (\boldsymbol{K}=\mathbf{3 9}, \boldsymbol{P}=\mathbf{3 1}) \) A . \( 68 \% \) B. 34\% c. \( 85 \% \) D. 51\%
1
Chemistry
Explain, why dogs pant during hot summer days using the concept of evaporation?
3
Physics
Find nth term of the \( \boldsymbol{G} \cdot \boldsymbol{P} \cdot \sqrt{\boldsymbol{3}}, \frac{\mathbf{1}}{\sqrt{\mathbf{3}}}, \frac{1}{\mathbf{3} \sqrt{\mathbf{3}}}, \ldots \)
2
Maths
The equation of the plane which is equidistant from the two parallel planes \( 2 x-2 y+z+3=0 \) and \( 4 x-4 y+ \) \( \mathbf{2} z+\mathbf{9}=\mathbf{0} \) is : A. \( 8 x-8 y+2 z+15=0 \) B. \( 8 x-8 y+4 z+15=0 \) c. \( 8 x-8 y+4 z+3=0 \) D. \( 8 x-8 y+4 z-3=0 \) E \( .8 x-8 y+4 z+4=0 \)
2
Maths
A man of height \( 1.8 m \) is standing near a Pyramid. If the shadow of the man is of length \( 2.7 m \) and the shadow of the Pyramid is \( 210 m \) long at that instant, find the height of the Pyramid
2
Maths
Statement I : An indicator will allow to determine whether a solution is acidic or basic. Statement II : Indicator will change colors in solutions with different pH. A. Statement I is True, Statement II is True and statement I is correct explanation of statements B. Statement lis True, Statement II is True and statement II is NOT correct explanation of statements c. Statement lis True, Statement II is False D. Statement I is False, Statement II is True E. Statement lis False, Statement II is False
1
Chemistry
Which of the following is not artificial form of plastics? A. Nylon B. Teflon c. Styrofoam D. None of the above
3
Physics
Find the volume of a sphere whose surface area is \( 154 \mathrm{cm}^{2} \)
2
Maths
Evaluate the given integral. \( \int x \cdot \sin ^{-1} x \)
2
Maths
\( \frac{3.24 \times 0.08666}{5.006} \)
1
Chemistry
\( _{1}^{2} \boldsymbol{H}+_{1}^{3} \boldsymbol{H} \rightarrow_{0}^{1} \boldsymbol{n}+\mathbf{X} \) The product \( X \) in the nuclear reaction represented is. A \( \cdot \frac{1}{1} H \) в. \( _{2}^{3} \mathrm{He} \) \( \mathrm{c} \cdot_{2}^{4} \mathrm{He} \) D. \( \frac{4}{3} L i \) \( E \cdot_{3}^{5} L i \)
3
Physics
Two samples \( A \) and \( B \) of same radioactive nuclide are prepared Sample A has twice the initial activity of sample B. For this situation, mark out the correct statement(s): This question has multiple correct options A. The half-lives of both the samples would be same B. The half-lives of the samples are different C. After each has passed through 5 half-lives, the ratio of activity of A to B is 2: D. After each has passed through 5 half-lives, ratio of activities of A to B is 64:
3
Physics
Two batteries of emf \( \boldsymbol{E}_{1} \) and \( \boldsymbol{E}_{2}\left(\boldsymbol{E}_{2}>\right. \) \( E_{1} \) ) and internal resistance \( r_{1} \) and \( r_{2} \) respectively are connected in parallel as shown in figure
3
Physics
If \( \boldsymbol{v}=\frac{\boldsymbol{A}}{\boldsymbol{t}}+\boldsymbol{B} \boldsymbol{t}^{2}+\boldsymbol{C} \boldsymbol{t}^{3} \) where \( \mathbf{v} \) is velocity, t is time and \( A, B \) and \( C \) are constant then the dimensional formula of B is? \( \mathbf{A} \cdot\left[M^{0} L T^{0}\right] \) \( \mathbf{B} \cdot\left[M L^{0} T^{0}\right] \) \( \mathbf{c} \cdot\left[M^{0} L^{0} T\right] \) \( \mathbf{D} \cdot\left[M^{0} L T^{-3}\right] \)
3
Physics
Evaluate \( \int_{0}^{1}\left(2 x^{2}+x+1\right) d x \)
2
Maths
Total world production of iron destroyed by rusting is about: A . \( 10 \% \) B. 50 \% c. \( 15 \% \) D. 40 \%
1
Chemistry
Assertion Cell division is necessary because it is a physiological process bound to occur as a rule of nature. Reason Division of nucleus is followed by division of cytoplasm. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct
0
Biology
Which is characteristic to a Lewis base? A. React with metal to produce hydrogen gas B. Donate an unshared electron pair C. Always contain the hydroxide ion in its structure D. Taste sour E. Formed by the reaction of a nonmetal oxide and water
1
Chemistry
Let \( z_{1} \) and \( z_{2} \) be roots of the equation \( z^{2}+p z+q=0, \) where the coefficients \( p \) and \( q \) may be complex numbers. Let \( A \) and \( B \) represents \( z_{1} \) and \( z_{2} \) in the complex plane. If \( \angle A O B=\alpha \neq 0 \) and \( \boldsymbol{O} \boldsymbol{A}=\boldsymbol{O} \boldsymbol{B}, \) where \( \boldsymbol{O} \) is the origin, then \( p^{2}=k \cos ^{2} \frac{\alpha}{2}, \) where \( k= \) \( \mathbf{A} \cdot \boldsymbol{q} \) B. \( 2 q \) c. \( 4 q \) D. None of these
2
Maths
For a cell reaction \( 2 H_{2}(g)+O_{2}(g) \longrightarrow \) \( 2 H_{2} O(l) ; \triangle_{r} S_{298}^{\circ}=-0.32 k J / K . \) What is the value of \( \triangle_{f} H_{298}^{\circ}\left(H_{2} O, l\right) ? \) Given \( \quad O_{2}(g)+4 H^{+}(a q .)+4 e^{-} \longrightarrow \) \( 2 H_{2} O(l) ; \quad E^{0}=1.23 V \) A. \( -285.07 k J / \) mol в. \( -570.14 \mathrm{kJ} / \mathrm{mol} \) c. \( 285.07 k J / \) mol D. None of these
1
Chemistry
In isosceles triangle \( \boldsymbol{A B C}, \boldsymbol{A B}=\boldsymbol{A C} \) The side \( B A \) is produced to \( D \) such that \( \boldsymbol{B A}=\boldsymbol{A D} \) Hence, \( \angle B C D=90^{\circ} \) If the above statement is true then mention answer as 1 , else mention 0 if false
2
Maths
Consider the above sequence and answer the following Conversion \( \left(\boldsymbol{C H}_{3}-\boldsymbol{C H}_{3} \Rightarrow \boldsymbol{C H}_{3}-\right. \) \( \left.C H_{2}-O H\right) \Rightarrow \) alcohol is achieved by: A. \( B r_{2} / h v, \) alc. KOH в. \( B r_{2} / h v, \) ая.КОН c. \( B r_{2} / C C L_{4}, L i A l H_{4} \) D. \( B r_{2} / C C l_{4}, N a B H_{4} \)
1
Chemistry
The value of \( p \) for which the function \[ \left\{\begin{array}{ccc} \boldsymbol{f}(\boldsymbol{x})= & & \\ & \left(\boldsymbol{4}^{\boldsymbol{x}}-\mathbf{1}\right)^{\mathbf{3}} & \\ \hline \multirow{2}{*} {\sin \frac{\boldsymbol{x}}{\boldsymbol{p}} \log \left(1+\frac{\boldsymbol{x}^{2}}{\mathbf{3}}\right)} & ; & \boldsymbol{x} \neq \mathbf{0} \\ & \mathbf{1 2}(\log \mathbf{4})^{\mathbf{3}} & ; \boldsymbol{x}=\mathbf{0} \end{array}\right. \] continuous at \( \boldsymbol{x}=\mathbf{0}, \) is A . 4 B. 2 \( c .3 \) \( D \)
2
Maths
In which part of atmosphere, ozone layer is present? A. Stratosphere B. Troposphere c. Mesosphere D. Thermosphere
1
Chemistry
A parallel plate capacitor is to be designed with a voltage rating \( 1 k V \) using a material of dielectric constant 10 and dielectric strength \( 10^{6} V m^{-1} \) What minimum area of the plates is required to have a capacitoance of \( 88.5 p F ? \)
3
Physics
Q Type your question in \( \mathrm{H}_{2} \mathrm{O} \longrightarrow \) \( A \) B. \( c \) \( D \)
1
Chemistry
The position vector of the foci of an ellipse are \( \vec{b} \) and \( -\vec{b}, \) and the length of major axis is \( 2 a \), then the equation of ellipse A \( \cdot a^{4}-a^{2}\left(\vec{r}^{2}+\vec{b}^{2}\right)+\left(\vec{b}^{2} \times \vec{r}^{2}\right)=0 \) \( ^{\text {В }} a^{4}-a^{2}\left(|\vec{r}|^{2}+|\vec{b}|^{2}\right)+\left(|\vec{b}|^{2} \cdot \vec{r}^{2}\right)=0 \) c. \( a^{4}+\vec{a}^{2}\left(\vec{r}^{2}+\vec{b}^{2}\right)+\left(\vec{b}^{2} \cdot \vec{r}^{2}\right)=0 \) D・ \( a^{4}-a^{2}\left(\vec{r}^{2}-\vec{b}^{2}\right)+\left(\vec{b}^{2} \cdot \vec{r}^{2}\right)=0 \)
2
Maths
In which of the following, sulphur has the highest oxidation state? This question has multiple correct options \( A \cdot S O_{2} \) в. \( S O_{3} \) c. \( H_{2} S O_{4} \) D. \( H_{2} S_{S} \)
1
Chemistry
Correct statement regarding the given reaction is: \( \mathbf{A} \cdot \mathbf{B} \) is 2,5 -dimethylfuran B. B is homocyclic aromatic compound C. A is pyran D. none of these
1
Chemistry
\( \operatorname{Points} \boldsymbol{A}(\boldsymbol{3}, \boldsymbol{2}, \boldsymbol{4}), \boldsymbol{B}\left(\frac{\boldsymbol{3} \boldsymbol{3}}{\boldsymbol{5}}, \frac{\boldsymbol{2} \boldsymbol{8}}{\boldsymbol{5}}, \frac{\boldsymbol{3} \boldsymbol{8}}{\boldsymbol{5}}\right), \) and \( C(9,8,10) \) are given. The ratio in which \( B \) divides \( \overline{A C} \) is A . 5: 3 B . 2: 1 c. 1: 3 D. 3: 2
2
Maths
What is the trajectory of the charged particle if the initial velocity of the particle is perpendicular to the direction of the magnetic field?
3
Physics
Same amount of heat is supplied to two liquids \( A \) and \( B \). The liquid \( A \) shows a greater rise in temperature. What can you say about the heat capacity of A as compared to that of B? A. Heat capacity of A is more than that of B B. Heat capacity of A is less than that of B c. Heat capacity of A is same as that of B D. can't say
3
Physics
The time period of a particle executing \( \mathrm{SHM} \) is \( \frac{2 \pi}{\omega} \) and its velocity at a distance \( b \) from mean position is \( \sqrt{3} b \omega \). Its amplitude is \( A \cdot b \) B. 2b \( c \cdot 3 b \) D. 46
3
Physics
A bus starts from rest and moves with a uniform acceleration of \( 1 ~ m s^{-2} . A \) boy 10 \( m \) behind the bus at the start runs at a constant speed and catches the bus in \( 10 s . \) Speed of the boy is : A \( \cdot 10 m s^{-1} \) B. \( 1 m s^{-1} \) \( \mathrm{c} \cdot 6 \mathrm{ms}^{-1} \) D. \( 4 m s^{-1} \)
3
Physics
Find the equation of the circle whose two end points of the diameter are (4,-2) and (-1,3)
2
Maths
Fill the blank. \( \$ \$ 2\{\text { Ca }\}_{-}\{3\}\left\{\text { lleft }\left(P\{0\}_{-}\{4\} \mid \text { right }\right)\right. \) 3. \( \{2\}+6 \operatorname{si}\{0\}_{-}\{2\}+10 C \) lrightarrow \( \{P \) \( -\{4\}+\mid \) text \( \{-\} \operatorname{casi}\{0\}_{-}\{3 \) \( 3+10 \cos \$ \) \( A \cdot 2 \) B. 4 \( c .5 \) D. 6 E . 8
1
Chemistry